examples/updating_parameters.ipynb

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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "using PETLION, Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = petlion(LCO;\n",
    "    jacobian=:symbolic,\n",
    "    );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Parameters\n",
    "\n",
    "All parameters are stored as Float64 in the dict `p.θ`. The dict can be updated at any time to change the value of each parameter or to add a new parameter.\n",
    "\n",
    "Since all functions are completely parameterized, the paramter values can be updated without additional compilation costs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cp_a: 897.0\n",
      "Cp_n: 700.0\n",
      "Cp_p: 700.0\n",
      "Cp_s: 700.0\n",
      "Cp_z: 385.0\n",
      "D_n: 7.5e-10\n",
      "D_p: 7.5e-10\n",
      "D_s: 7.5e-10\n",
      "D_sn: 3.9e-14\n",
      "D_sp: 1.0e-14\n",
      "Ea_D_sn: 5000.0\n",
      "Ea_D_sp: 5000.0\n",
      "Ea_k_n: 5000.0\n",
      "Ea_k_p: 5000.0\n",
      "I1C: 29.230007240358237\n",
      "M_n: 0.00073\n",
      "R_SEI: 0.01\n",
      "Rp_n: 2.0e-6\n",
      "Rp_p: 2.0e-6\n",
      "T_amb: 298.15\n",
      "T₀: 298.15\n",
      "Uref_s: 0.4\n",
      "brugg_n: 4.0\n",
      "brugg_p: 4.0\n",
      "brugg_s: 4.0\n",
      "c_e₀: 1000.0\n",
      "c_max_n: 30555.0\n",
      "c_max_p: 51554.0\n",
      "h_cell: 1.0\n",
      "i_0_jside: 1.5e-6\n",
      "k_n: 5.031e-11\n",
      "k_n_aging: 1.0\n",
      "k_p: 2.334e-11\n",
      "l_a: 1.0e-5\n",
      "l_n: 8.8e-5\n",
      "l_p: 8.0e-5\n",
      "l_s: 2.5e-5\n",
      "l_z: 1.0e-5\n",
      "t₊: 0.364\n",
      "w: 2.0\n",
      "θ_max_n: 0.8551\n",
      "θ_max_p: 0.4955\n",
      "θ_min_n: 0.01429\n",
      "θ_min_p: 0.99174\n",
      "λ_MHC_n: 6.26e-20\n",
      "λ_MHC_p: 6.26e-20\n",
      "λ_a: 237.0\n",
      "λ_n: 1.7\n",
      "λ_p: 2.1\n",
      "λ_s: 0.16\n",
      "λ_z: 401.0\n",
      "ρ_a: 2700.0\n",
      "ρ_n: 2500.0\n",
      "ρ_p: 2500.0\n",
      "ρ_s: 1100.0\n",
      "ρ_z: 8940.0\n",
      "σ_a: 3.55e7\n",
      "σ_n: 100.0\n",
      "σ_p: 100.0\n",
      "σ_z: 5.96e7\n",
      "ϵ_fn: 0.0326\n",
      "ϵ_fp: 0.025\n",
      "ϵ_n: 0.485\n",
      "ϵ_p: 0.385\n",
      "ϵ_s: 0.724\n"
     ]
    }
   ],
   "source": [
    "for key in keys(sort(p.θ))\n",
    "    println(\"$key: $(p.θ[key])\")\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example: Porisity of cathode\n",
    "\n",
    "After the initial compilation, everything runs smoothly"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  0.003378 seconds (1.17 k allocations: 885.148 KiB)\n",
      "  0.002747 seconds (977 allocations: 877.977 KiB)\n",
      "  0.002476 seconds (909 allocations: 875.789 KiB)\n"
     ]
    },
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      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p.opts.SOC = 1\n",
    "\n",
    "p.θ[:ϵ_p] = 0.385\n",
    "@time sol1 = simulate(p,I=-1)\n",
    "\n",
    "p.θ[:ϵ_p] = 0.485\n",
    "@time sol2 = simulate(p,I=-1)\n",
    "\n",
    "p.θ[:ϵ_p] = 0.585\n",
    "@time sol3 = simulate(p,I=-1)\n",
    "\n",
    "plot(sol1.t, sol1.V;  label=\"ϵ_p = 0.385\", xlabel=\"Time (s)\", ylabel=\"Voltage (V)\", legend=:topright)\n",
    "plot!(sol2.t, sol2.V; label=\"ϵ_p = 0.485\")\n",
    "plot!(sol3.t, sol3.V; label=\"ϵ_p = 0.585\")"
   ]
  }
 ],
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